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Finding the Fourth Proportional to 30.21, 45.23 and 20.05

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Solution

The fourth proportional to 30.21, 45.23 and 20.05 is: 30.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.21 : 45.23 = 20.05 : x
  2. Step 2: Convert to fraction form
    30.21/45.23 = 20.05/x
  3. Step 3: Cross multiply
    30.21x = 45.23 × 20.05
  4. Step 4: Simplify right side
    30.21x = 906.86
  5. Step 5: Solve for x
    x = 906.86/30.21
  6. Step 6: Final answer
    x = 30.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.